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Finding the Fourth Proportional to 1,598.17, 2,206.87 and 1,075.72

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Solution

The fourth proportional to 1,598.17, 2,206.87 and 1,075.72 is: 1,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.17 : 2,206.87 = 1,075.72 : x
  2. Step 2: Convert to fraction form
    1,598.17/2,206.87 = 1,075.72/x
  3. Step 3: Cross multiply
    1,598.17x = 2,206.87 × 1,075.72
  4. Step 4: Simplify right side
    1,598.17x = 2,373,974.20
  5. Step 5: Solve for x
    x = 2,373,974.20/1,598.17
  6. Step 6: Final answer
    x = 1,485.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.